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OALib Journal期刊
ISSN: 2333-9721
费用：99美元
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基-序列中紧空间的若干性质
, PP. 599-604
Keywords: 基-序列中紧,基-正规,完备映射,乘积
Abstract:
推广文献(TopAppl,2003,128(2/3)145-156.)引入的基-仿紧空间的概念,引入基序列中紧空间空间X称为基-序列中紧空间,如果X有一个基B,满足|B|=w(X),且对X的任意开覆盖U,都存在B′B,B′是U的收敛序列有限的开加细.它是基-仿紧性和序列中紧性的推广.通过构造空间X的基的收敛序列有限的开加细,主要研究了基-序列中紧空间的性质,证明了1)基-序列中紧空间与其他基覆盖性质间的蕴含关系;2)在完备映射下基-序列中紧性是逆保持的;3)基-序列中紧空间的乘积性质等.所得结果不仅推广了基-仿紧空间的性质,在理论上也完善了拓扑空间的基-覆盖性质.
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